4005798570 has 128 divisors (see below), whose sum is σ = 11334919680. Its totient is φ = 1003207680.

The previous prime is 4005798551. The next prime is 4005798571. The reversal of 4005798570 is 758975004.

4005798570 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 79 + 8 + 570 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4005798571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3767859 + ... + 3768921.

It is an arithmetic number, because the mean of its divisors is an integer number (88554060).

Almost surely, 2^4005798570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005798570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667459840).

4005798570 is an abundant number, since it is smaller than the sum of its proper divisors (7329121110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4005798570 is a wasteful number, since it uses less digits than its factorization.

4005798570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 4005798570 is about 63291.3783228016. The cubic root of 4005798570 is about 1588.1677362912.

The spelling of 4005798570 in words is "four billion, five million, seven hundred ninety-eight thousand, five hundred seventy".